Course 1 Unit 5 Practice
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1 Course Unit Practice Lesson -. Attend to precision. Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths in inches. If a triangle can be formed, classify the triangle by the length of its sides. a. a 6, b 6, c 6 b. a, b, c 9 c. a, b 8, c 9 d. a, b, c. Which of the following are possible side lengths of a triangle? A.,, and B.,, and C., 0, and D.,, and. Construct viable arguments. Two sides of a triangle are and centimeters long. a. What is the shortest possible side length in whole centimeters for the third side?. A triangle has side lengths, and. What type of triangle is it? Explain.. A triangle has side lengths 9 cm and cm. What could the third side length be in order for the triangle to be isosceles? A. a side length greater than 9 cm and less than cm B. cm C. 9 cm or cm D. any side length greater than cm and less than cm Lesson - 6. Two angles in a triangle have measures of 68 and 98. What is the measure of the third angle? A. 98 B. 68 C. 98 D Identify each triangle based on the length of its sides. a. 7, 8, b. 9, 9, b. What is the longest possible side length in whole centimeters for the third side? c. 8, 8, 8 d. 6, 8, 0 8. Use appropriate tools strategically. Use a ruler and protractor to sketch a triangle that is isosceles and has an angle that measures 8. Is the triangle acute, right, or obtuse? Explain. 0 College Board. All rights reserved. SpringBoard Course, Unit Practice
2 9. Reason abstractly. Find the missing angle measure or measures in each triangle below. Then classify the triangle by both its angle measures and its side lengths. a. All three angles in a triangle have the same measure. Lesson -. What is the best name for each quadrilateral? a. A parallelogram with four congruent sides and four right angles. b. A parallelogram with four right angles and opposite sides congruent. b. Two angles in a triangle measure 08 each. c. A parallelogram with four congruent sides. c. Two angles in a triangle measure 8 and 8.. What is measure of the missing angle? Two angles in a triangle have measure of 08 and 08. What type of triangle is it? A. acute B. right C. isosceles D. obtuse A. 98 B. 68 C. 8 D Reason quantitatively. What is the length of each side of a rhombus with a perimeter of 60 inches?
3 . Attend to precision. What is the value of x? 7. Reason quantitatively. A square sign has a perimeter of feet. What is the area of the sign? (x). What is the missing angle measure in the quadrilateral? A. 68 B. 78 C. 88 D Lesson - 6. Find the perimeter and area of each figure. a. b. 8 cm 0 in. in. 0 cm 8. A rectangular patio is feet wide. The patio has an area of 6 square feet. What is the perimeter of the patio? A. 8 feet B. 0 feet C. 60 feet D. 6 feet 9. A rectangular floor is 8 feet long and 9 feet wide. How much will it cost to tile the floor if the tile costs $. per square foot? A. $6.00 B. $9.0 C. $70.7 D. $ Make sense of problems. Sandra needs to put a coat of primer and two coats of paint on 8 rectangular walls. Each wall is 8 feet by feet. Each can of paint covers 00 square feet. Each can of primer covers 00 square feet. How many cans of paint and primer does Sandra need? Explain your thinking. 8 cm c. cm cm cm cm
4 Lesson -. Find the area of each figure. a. 0 cm cm b. 0 cm 8 cm 8 cm c.. What is the area of the figure shown? 8 in. A. 6 square inches B. 70 square inches C. 60 square inches D. square inches in. 0 in.. Make sense of problems. What is the area of the figure shown? 6 ft 0 ft 6 ft 7 ft 8 ft 8 ft ft ft. Reason abstractly. A triangle has a height of and an area of 79 square inches. What is the length of the base of the triangle?. What is the area of the figure shown? 6 in. A. square inches B. square inches C. 6 square inches D. 0 square inches in. 8 in. ft 7 ft Lesson - 6. Use the parallelogram to answer the following. y x 0 a. What is the length of the parallelogram? b. What is the height of the parallelogram?
5 7. A line segment has endpoints (., 6.) and (, 6.). What is the length of the line segment? A. units B. units C.. units D. 6. units 8. Model with mathematics. Use the grid to answer the following. 0 y a. If a rectangle has the points, N(, ), O(, ), P (, ) and Q (, ). Draw the rectangle NOPQ. b. What is the length of side NQ? x 9. A quilter aligns parallelograms of the same size to create a pattern. What is the total area of the quilter s pattern if each square on the grid represents foot? A. ft B. ft C. ft D. 78 ft 0. Reason abstractly. A square has vertices at (, 8), (, ), (9, 8) and (9, ). Without drawing the square, determine the area. Lesson -. What is the area of the triangle? A. square units B. 8 square units C. 6 square units D. 6 square units 0 y x c. What is the length of side QP? d. What is the area of rectangle NOPQ?
6 . Model with mathematics. Use the grid to answer the following. 0 a. If a triangle has vertices, K(0, ), L(, ), M (, ). Draw the triangle KLM. y b. What is the length of the base of the triangle? x. A trapezoid has one base that measures 6 centimeters and the other that measures centimeters. The height of the trapezoid is centimeters. What is the area of the trapezoid? (Hint: Area h( b b )) A. cm. B. cm C. 6 cm D. cm 0 y x a. What are the lengths of each of the bases of the trapezoid? c. What is the height of the triangle? b. What is the height of the trapezoid? c. What is the area of the trapezoid? d. What is the area of triangle KLM?. Persevere in solving problems. A triangular banner has a base of meters and a height of 6 meters. What is the cost to make the banner if the material costs $. per square meter? 6
7 Lesson - 6. The box below is a net of a cube and is used to ship a soccer ball. 7. A cube shaped box with 9 centimeter edges is used for shipping glass figurines. What is the surface area of the box? A. in B. 08 in C. in D. 86 in 8. What is the surface area of a cube with edges that are inches long? A. 7 in B in C.. in a. What is the area of each cube? D. in b. How many sides form a cube? 9. Reason quantitatively. A cube has a surface area of 76 in. What is the edge length of the cube? Explain. c. What is the total surface area of the cube? 0. Make sense of problems. A cube shaped box has edges that are 6 centimeters long. The box does not have a top. What is the surface area of the box? Justify your answer. 7
8 Lesson -. A shoe box has a length of inches, a width of 6 inches and a height of inches. What is the area of the shoe box? A. 6 square units B. square units C. 60 square units D. 70 square units. Use the net to find the surface area of the rectangular prism. 6 inches 6 inches 0 inches. Model with mathematics. 0 inches 7 inches inches a. Draw and label a net of the rectangular prism. A. 6 square inches B. 68 square inches C. 9 square inches D. 0 square inches. A box of cereal is shaped like a rectangular prism. The box is 9 inches long, inches wide and inches tall. What is the surface area of the box of cereal? b. Determine the surface area of the rectangular prism.. Persevere in solving problems. A box is feet long, wide and 7 inches tall. How much would it cost to cover the box in material if the material costs cents per square inch? Explain how you found your cost. 8
9 Lesson 6-6. Model with mathematics. Use the diagram to find the volume of the cube. Lesson 6-. A gift box is shaped like a rectangular prism with the dimensions shown. 6 mm inches 7 inches inches 7. What is the volume of a cube with side length of ft? A. 6 ft B. 9 6 ft C. 7 6 ft D. 8 6 ft 8. An ice cube has side lengths that are. cm long. What is the volume of the ice cube? A. 6. cm B..6 cm C. 7. cm D. 90 cm 9. The area of one face of a cube is 8 cubic inches. What is the volume of the cube? a. What is the area of the base of the gift box? b. What is the volume of the gift box?. A cabinet is shaped like a rectangular prism. The cabinet has a volume of 888 cubic inches. The cabinet is long and inches high. How deep is the cabinet? A. 6 inches B. C. 9 inches D. inches. A briefcase is shaped like a rectangular prism with the dimensions shown. inches 0. Reason quantitatively. A cube has a surface area of 9 square inches. What is the volume of the cube? Explain your reasoning. inches 8 inches a. What is the area of the base of the briefcase? b. What is the volume of the briefcase? 9
10 . Reason quantitatively. What is the maximum number of cubes with side length of inches that can fit in the box shown?. Make sense of problems. Sharon is filling a large garden planter with soil. She will leave inches empty from the top. How much soil does she need? foot 6 inches feet feet inches A. cubes B. 8 cubes C. 0 cubes D. cubes 0
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